6 citations · 19 across the 5 of their papers we have counts for
5 papers
Positivity preservation of implicit discretizations of the advection equation
Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi
We analyze, from the viewpoint of positivity preservation, certain discretizations of a fundamental partial differential equation, the one-dimensional advection equation with perio…
High order discretization methods for spatial-dependent epidemic models
Bálint Takács, Yiannis Hadjimichael
In this paper, an epidemic model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of t…
Strong-stability-preserving additive linear multistep methods
Yiannis Hadjimichael, David I. Ketcheson
The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy differe…
Strong stability preserving explicit linear multistep methods with variable step size
Yiannis Hadjimichael, David Ketcheson, Lajos Lóczi +1
Strong stability preserving (SSP) methods are designed primarily for time integration of nonlinear hyperbolic PDEs, for which the permissible SSP step size varies from one step to…
Strong stability preserving explicit Runge-Kutta methods of maximal effective order
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson +1
We apply the concept of effective order to strong stability preserving (SSP) explicit Runge-Kutta methods. Relative to classical Runge-Kutta methods, methods with an effective orde…